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Simplifying -6 + -3(2w + 7) = 117 Reorder the terms: -6 + -3(7 + 2w) = 117 -6 + (7 * -3 + 2w * -3) = 117 -6 + (-21 + -6w) = 117 Combine like terms: -6 + -21 = -27 -27 + -6w = 117 Solving -27 + -6w = 117 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -6w = 117 + 27 Combine like terms: -27 + 27 = 0 0 + -6w = 117 + 27 -6w = 117 + 27 Combine like terms: 117 + 27 = 144 -6w = 144 Divide each side by '-6'. w = -24 Simplifying w = -24
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